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Simplifying 4(b + -3) = 2(4b + 3) Reorder the terms: 4(-3 + b) = 2(4b + 3) (-3 * 4 + b * 4) = 2(4b + 3) (-12 + 4b) = 2(4b + 3) Reorder the terms: -12 + 4b = 2(3 + 4b) -12 + 4b = (3 * 2 + 4b * 2) -12 + 4b = (6 + 8b) Solving -12 + 4b = 6 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -12 + 4b + -8b = 6 + 8b + -8b Combine like terms: 4b + -8b = -4b -12 + -4b = 6 + 8b + -8b Combine like terms: 8b + -8b = 0 -12 + -4b = 6 + 0 -12 + -4b = 6 Add '12' to each side of the equation. -12 + 12 + -4b = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -4b = 6 + 12 -4b = 6 + 12 Combine like terms: 6 + 12 = 18 -4b = 18 Divide each side by '-4'. b = -4.5 Simplifying b = -4.5
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